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Finding the Fourth Proportional to 3,137.66, 4,328.79 and 1,810.88

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Solution

The fourth proportional to 3,137.66, 4,328.79 and 1,810.88 is: 2,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.66 : 4,328.79 = 1,810.88 : x
  2. Step 2: Convert to fraction form
    3,137.66/4,328.79 = 1,810.88/x
  3. Step 3: Cross multiply
    3,137.66x = 4,328.79 × 1,810.88
  4. Step 4: Simplify right side
    3,137.66x = 7,838,919.24
  5. Step 5: Solve for x
    x = 7,838,919.24/3,137.66
  6. Step 6: Final answer
    x = 2,498.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.